Ta có:\(1-\frac{2010}{2010}=1-1=0\)

Tích A= (1-1/2010).(1-2/2010).(1-3/2010)....(1-2011/2010) chứa thừa số \(1-\frac{2010}{2010}=0\)

Vậy tích A=(1-1/2010).(1-2/2010).(1-3/2010)....(1-2011/2010)=0(Vì có chứa thừa số 0)

Ta có \(1-\frac{2010}{2010}=1-1=0\)

Mà \(A=\left(1-\frac{1}{2010}\right).\left(1-\frac{2}{2010}\right).\left(1-\frac{3}{2010}\right)...\left(1-\frac{2010}{2010}\right).\left(1-\frac{2011}{2010}\right)\)

Nên \(A=...0\)\(=0\)

\(A=\left(1-\frac{1}{2010}\right).\left(1-\frac{2}{2010}\right).\left(1-\frac{3}{2010}\right).....\left(1-\frac{2011}{2010}\right)\)

\(A=\left(1-\frac{1}{2010}\right).\left(1-\frac{2}{2010}\right).\left(1-\frac{3}{2010}\right).....\left(1-\frac{2010}{2010}\right).\left(1-\frac{2011}{2010}\right)\)

\(A=\left(1-\frac{1}{2010}\right).\left(1-\frac{2}{2010}\right).\left(1-\frac{3}{2010}\right).....\left(1-1\right).\left(1-\frac{2011}{2010}\right)\)

\(A=\left(1-\frac{1}{2010}\right)\left(1-\frac{2}{2010}\right)\left(1-\frac{3}{2010}\right)....0.\left(1-\frac{2011}{2010}\right)\)

\(A=0\)

\(A=\left(1-\frac{1}{2010}\right).\left(1-\frac{2}{2010}\right).\left(1-\frac{3}{2010}\right)...\left(1-\frac{2011}{2010}\right)\)

\(A=\left(1-\frac{1}{2010}\right).\left(1-\frac{2}{2010}\right).\left(1-\frac{3}{2010}\right)...\left(1-\frac{2010}{2010}\right).\left(1-\frac{2011}{2010}\right)\)

\(A=\left(1-\frac{1}{2010}\right).\left(1-\frac{2}{2010}\right).\left(1-\frac{3}{2010}\right)...0.\left(1-\frac{2011}{2010}\right)\)

\(\Rightarrow A=0\)

( Vì 0 nhân với số nào cũng bằng 0 )

    (1 + 2 + 3 + 4 + ... + 2010).(1 + 2² + 3³ + ... + 2010²⁰¹⁰ + 2011²⁰¹¹).(170170 - 7.11.13.170)

= (1 + 2 + 3 + 4 + ... + 2010).(1 + 2² + 3³ + ... + 2010²⁰¹⁰ + 2011²⁰¹¹).(170170 - 170170)

= (1 + 2 + 3 + 4 + ... + 2010).(1 + 2² + 3³ + ... + 2010²⁰¹⁰ + 2011²⁰¹¹).   0

=                     0

\(\left(1-\frac{1}{2010}\right).\left(1-\frac{2}{2010}\right).\left(1-\frac{3}{2010}\right)...\left(1-\frac{2011}{2010}\right)\)

\(=\left(1-\frac{1}{2010}\right).\left(1-\frac{2}{1010}\right).\left(1-\frac{3}{2010}\right)....\left(1-\frac{2010}{2010}\right).\left(1-\frac{2011}{2010}\right)\)

\(=\left(1-\frac{1}{2010}\right).\left(1-\frac{2}{2010}\right).\left(1-\frac{3}{2010}\right)...\left(1-1\right).\left(1-\frac{2011}{2010}\right)\)

\(=\left(1-\frac{1}{2010}\right).\left(1-\frac{2}{2010}\right).\left(1-\frac{3}{2010}\right)...0.\left(1-\frac{2011}{2010}\right)\)

\(=0\)

Vì ta có 1 - 1/2010 = 0/2010 = 0 nên suy ra biểu thức A = 0

A=\(\left(1-\frac{1}{2010}\right).\left(1-\frac{2}{2010}\right)...\left(1-\frac{2010}{2010}\right)\left(1-\frac{2011}{2010}\right)\)

A=\(\frac{2009}{2010}.\frac{2008}{2010}...0.\frac{-1}{2010}\)

A=0

Ta có :           ( 1 + 2 + 3 +...+ 2010 ) . ( 1 + 2^2 + 3^3 + ... + 2010^2010 + 2011^2011 ) . ( 17017 - 7 . 11 . 13 . 17 ) 

               =             A        .    B     . (      17017 -    77 . 221 ) 

               =             A        .    B     . (       17017 - 17017 ) 

               =            A        . B     . 0 

               =        0   

Tham khảo cách của mk nhé ! 

17017=7.11.13.17

=> 17017-7.11.13.17=0

=> biểu thức =0